Literature DB >> 14685773

Quasi-steady state assumptions for non-isolated enzyme-catalysed reactions.

I Stoleriu1, F A Davidson, J L Liu.   

Abstract

The nature and validity of the mathematical formulation of Michaelis-Menten type kinetics for enzyme-catalysed biochemical reactions is studied. Almost all previous work has concentrated on isolated reactions, i.e. those without input or other environmental influences. In this paper, we investigate the effects of substrate input on this formulation, in particular, on the nature and validity of the quasi-steady state assumptions.

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Year:  2003        PMID： 14685773     DOI： 10.1007/s00285-003-0225-7

Source DB:  PubMed          Journal:  J Math Biol        ISSN： 0303-6812            Impact factor:   2.259


  6 in total

1.  Enzyme kinetics at high enzyme concentration.

Authors:  S Schnell; P K Maini
Journal:  Bull Math Biol       Date:  2000-05       Impact factor: 1.758

2.  Extending the quasi-steady state approximation by changing variables.

Authors:  J A Borghans; R J de Boer; L A Segel
Journal:  Bull Math Biol       Date:  1996-01       Impact factor: 1.758

3.  Singular perturbation theory for open enzyme reaction networks.

Authors:  F Battelli; C Lazzari
Journal:  IMA J Math Appl Med Biol       Date:  1986

4.  On the validity of the steady state assumption of enzyme kinetics.

Authors:  L A Segel
Journal:  Bull Math Biol       Date:  1988       Impact factor: 1.758

5.  Analysis of the quasi-steady-state approximation for an enzymatic one-substrate reaction.

Authors:  M Schauer; R Heinrich
Journal:  J Theor Biol       Date:  1979-08-21       Impact factor: 2.691

6.  Mathematical modelling of dynamics and control in metabolic networks. I. On Michaelis-Menten kinetics.

Authors:  B O Palsson; E N Lightfoot
Journal:  J Theor Biol       Date:  1984-11-21       Impact factor: 2.691
  6 in total
  9 in total

1.  Effects of periodic input on the quasi-steady state assumptions for enzyme-catalysed reactions.

Authors:  I Stoleriu; F A Davidson; J L Liu
Journal:  J Math Biol       Date:  2004-08-20       Impact factor: 2.259

2.  Kinetic constraints for formation of steady states in biochemical networks.

Authors:  Junli Liu
Journal:  Biophys J       Date:  2005-02-24       Impact factor: 4.033

3.  Use and abuse of the quasi-steady-state approximation.

Authors:  E H Flach; S Schnell
Journal:  Syst Biol (Stevenage)       Date:  2006-07

4.  Transient dynamics of genetic regulatory networks.

Authors:  Matthew R Bennett; Dmitri Volfson; Lev Tsimring; Jeff Hasty
Journal:  Biophys J       Date:  2007-03-09       Impact factor: 4.033

5.  A queueing approach to multi-site enzyme kinetics.

Authors:  Philip Hochendoner; Curtis Ogle; William H Mather
Journal:  Interface Focus       Date:  2014-06-06       Impact factor: 3.906

6.  On the Validity of the Stochastic Quasi-Steady-State Approximation in Open Enzyme Catalyzed Reactions: Timescale Separation or Singular Perturbation?

Authors:  Justin Eilertsen; Santiago Schnell
Journal:  Bull Math Biol       Date:  2021-11-26       Impact factor: 1.758

7.  A theoretical framework for beta-glucan degradation during barley malting.

Authors:  Alberto Gianinetti
Journal:  Theory Biosci       Date:  2009-01-08       Impact factor: 1.919

8.  Balanced truncation for model reduction of biological oscillators.

Authors:  Alberto Padoan; Fulvio Forni; Rodolphe Sepulchre
Journal:  Biol Cybern       Date:  2021-08-12       Impact factor: 2.086

9.  On the quasi-steady-state approximation in an open Michaelis-Menten reaction mechanism.

Authors:  Justin Eilertsen; Marc R Roussel; Santiago Schnell; Sebastian Walcher
Journal:  AIMS Math       Date:  2021-04-21
  9 in total

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